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• W3134977413 abstract "We report the discovery of a codimension-two phenomenon in the phase diagram of a second-order self-sustained nonlinear oscillator subject to a constant external periodic forcing, around which three regimes associated with the synchronization phenomenon exist, namely phase-locking, frequency-locking without phase-locking, and frequency-unlocking states. The triple point of synchronization arises when a saddle-node homoclinic cycle collides with the zero-amplitude state of the forced oscillator. A line on the phase diagram where limit-cycle solutions contain a phase singularity departs from the triple point, giving rise to a codimension-one transition between the regimes of frequency unlocking and frequency locking without phase locking. At the parameter values where the critical transition occurs, the forced oscillator exhibits a separatrix with a $ensuremath{pi}$ phase jump, i.e., a particular trajectory in phase space that separates two distinct behaviors of the phase dynamics. Close to the triple point, noise induces excitable pulses where the two variants of type-I excitability, i.e., pulses with and without $2ensuremath{pi}$ phase slips, appear stochastically. The impacts of weak noise and some other dynamical aspects associated with the transition induced by the singular phenomenon are also discussed." @default.
• W3134977413 created "2021-03-15" @default.
• W3134977413 creator A5016245737 @default.
• W3134977413 creator A5077836664 @default.
• W3134977413 date "2021-03-01" @default.
• W3134977413 modified "2023-09-24" @default.
• W3134977413 title "Triple point of synchronization, phase singularity, and excitability along the transition between unbounded and bounded phase oscillations in a forced nonlinear oscillator" @default.
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• W3134977413 doi "https://doi.org/10.1103/physreve.103.032201" @default.
• W3134977413 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33862802" @default.
• W3134977413 hasPublicationYear "2021" @default.
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